document.write( "Question 1175615: Hi
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document.write( "A had 52 dollars more than B.B had 3 times as much as C. If C had 100 dollars less than A how much money did they have altogether.
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document.write( "Thank you \n" );
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Algebra.Com's Answer #801251 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let a equal the amount that A had. \n" ); document.write( "let b equal the amount that B had. \n" ); document.write( "let C equal the amount that C had.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "yu are given that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = b + 52 \n" ); document.write( "b = 3c \n" ); document.write( "c = a - 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the first 2 equations, replace b with 3c to get: \n" ); document.write( "a = b + 52 becomes a = 3c + 52\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the third equation, replace a with 3c + 52 to get: \n" ); document.write( "c = a - 100 becomes c = 3c + 52 - 100. \n" ); document.write( "combine like terms to get: \n" ); document.write( "c = 3c - 48 \n" ); document.write( "subtract c from both sides of the equation and add 48 to both sides of the equation to get: \n" ); document.write( "48 = 2c \n" ); document.write( "solve for c to get: \n" ); document.write( "c = 24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the equation that says b = 3c, replace c with 24 to get: \n" ); document.write( "b = 3 * 24. \n" ); document.write( "solve for b to get: \n" ); document.write( "b = 72.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the equation that says a = b + 52, replace b with 72 to get: \n" ); document.write( "a = 72 + 52 = 124.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your now have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 124 \n" ); document.write( "b = 72 \n" ); document.write( "c = 24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add then up and you have a + b + c = 220.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |